This section will teach you how to measure line segments. One way to measure segments is using the Distance Formula. This section is in the textbook from pages 17-23.
Vocabulary for this section:
Postulates- rules in math that you don't have to prove; they are just accepted Theorems- rules in math that have to be proven Between- refers to 3 collinear points. One of the points is "between" the other two Congruent Segments- line segments whose lengths are the same
Postulates/Theorems:
Ruler Postulate- states that points on a line can be substituted with real numbers. That real number is called the coordinate of that point.
(The name of a point can be point A but the coordinate of it can be X1)
The distance between J and K is the absolute value of the difference of coordinates J and K.
Segment Addition Postulate- 2 parts of a line segment equal the entire segment.
Pythagorean Theorem
The Distance Formula:
SAMPLE PROBLEMS:
Find the distance between each set of points. S(0,6) T(8,12)
1)
2) A(1,-2) B(-2,-6)
Draw a sketch of the 3 collinear points. Then, write the Segment Addition Postulate for the points
3) W is between A and F
AW+WF=AF
PRACTICE PROBLEMS:
Use the Distance Formula to decide whether JK is congruent to KL.
1) J(0,-8)
K(4,3)
L(-2,-7)
Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then, find the lengths of LM, MN, and LN.
2) LM= 7y+9
MN= 3y+4
LN= 143
Find the distance between the 2 points.
3) B(7, -5) D(3,0)
1-3 Segments and Their Measures
Allie SniderSummary:
This section will teach you how to measure line segments. One way to measure segments is using the Distance Formula. This section is in the textbook from pages 17-23.Vocabulary for this section:
Postulates- rules in math that you don't have to prove; they are just acceptedTheorems- rules in math that have to be proven
Between- refers to 3 collinear points. One of the points is "between" the other two
Congruent Segments- line segments whose lengths are the same
Postulates/Theorems:
Ruler Postulate- states that points on a line can be substituted with real numbers. That real number is called the coordinate of that point.
(The name of a point can be point A but the coordinate of it can be X1)
The distance between J and K is the absolute value of the difference of coordinates J and K.
Segment Addition Postulate- 2 parts of a line segment equal the entire segment.
Pythagorean Theorem
The Distance Formula:
SAMPLE PROBLEMS:
Find the distance between each set of points. S(0,6) T(8,12)1)
2) A(1,-2) B(-2,-6)
Draw a sketch of the 3 collinear points. Then, write the Segment Addition Postulate for the points
3) W is between A and F
AW+WF=AF
PRACTICE PROBLEMS:
Use the Distance Formula to decide whether JK is congruent to KL.1) J(0,-8)
K(4,3)
L(-2,-7)
Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then, find the lengths of LM, MN, and LN.
2) LM= 7y+9
MN= 3y+4
LN= 143
Find the distance between the 2 points.
3) B(7, -5) D(3,0)
4) R(-12, 8) K(-7, 1)
http://www.purplemath.com/modules/distform.htm
http://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.152614.html